{"id":443,"date":"2023-07-29T22:24:07","date_gmt":"2023-07-29T22:24:07","guid":{"rendered":"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/"},"modified":"2023-07-29T22:24:07","modified_gmt":"2023-07-29T22:24:07","slug":"merkezi-limit-teoremi-hesaplayicisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/","title":{"rendered":"Merkezi limit teoremi hesaplay\u0131c\u0131"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ncolor: black;\ntext-align: center;\nmargin-top: 15px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>h2 {\ncolor: black;\nfont-size: 20px;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_intro_center {\ntext-align: center;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#words_intro label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words_intro\">Merkezi limit teoremi, pop\u00fclasyon da\u011f\u0131l\u0131m\u0131 normal <i>olmasa bile, \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc yeterince b\u00fcy\u00fckse, bir \u00f6rneklem ortalamas\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n yakla\u015f\u0131k olarak normal oldu\u011funu belirtir.<\/i> Merkezi limit teoremi ayr\u0131ca \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n a\u015fa\u011f\u0131daki \u00f6zelliklere sahip olaca\u011f\u0131n\u0131 belirtir:<\/div>\n<div id=\"words_intro\"> <b>1.<\/b> \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n <b>ortalamas\u0131<\/b> n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131na e\u015fit olacakt\u0131r:<\/div>\n<div id=\"words_intro_center\"> <span style=\"text-decoration: overline\">x<\/span> = \u00b5<\/div>\n<div id=\"words_intro\"> <b>2.<\/b> \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n <b>standart sapmas\u0131,<\/b> n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131n\u0131n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne b\u00f6l\u00fcnmesine e\u015fit olacakt\u0131r:<\/div>\n<div id=\"words_intro_center\"> s = \u03c3 \/ <span style=\"text-decoration: overline\">\u221an<\/span><\/div>\n<div id=\"words_intro\"> Belirli bir numunenin numune ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 bulmak i\u00e7in gerekli de\u011ferleri a\u015fa\u011f\u0131ya girmeniz ve ard\u0131ndan \u201cHesapla\u201d butonuna t\u0131klaman\u0131z yeterlidir.<\/div>\n<div id=\"words\"> <label for=\"pop_mean\"><b>N\u00fcfus ortalamas\u0131 (\u03bc)<\/b><\/label><input type=\"number\" id=\"pop_mean\" min=\"0\" value=\"17\"><\/div>\n<div id=\"words\"> <label for=\"pop_sd\"><b>N\u00fcfus standart sapmas\u0131 (\u03c3)<\/b><\/label><input type=\"number\" id=\"pop_sd\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words\"> <label for=\"n\"><b>\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (n)<\/b><\/label> <input type=\"number\" id=\"n\" min=\"0\" value=\"25\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p> \u00d6rnek ortalama ( <span style=\"text-decoration:overline\">x<\/span> ) = <b><span id=\"sample_mean\">17<\/span><\/b><\/p>\n<\/div>\n<div>\n<p> \u00d6rnek standart sapmas\u0131 (s) = <b><span id=\"sample_sd\">0,8<\/span><\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\t\/\/get input degrees of freedom, t-value\n\tvar n = document.getElementById('n').value*1;\n\tvar pop_mean = document.getElementById('pop_mean').value*1;\n\tvar pop_sd = document.getElementById('pop_sd').value*1;<\/p>\n<p>\t\/\/calculate sample mean and sample standard deviation\n\tvar sample_mean = pop_mean;\n\tvar sample_sd = pop_sd \/ Math.sqrt(n);<\/p>\n<p>\t\/\/output values\n\tdocument.getElementById('sample_mean').innerHTML = sample_mean.toFixed(5);\n\tdocument.getElementById('sample_sd').innerHTML = sample_sd.toFixed(5);\n  }<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Merkezi limit teoremi, pop\u00fclasyon da\u011f\u0131l\u0131m\u0131 normal olmasa bile, \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc yeterince b\u00fcy\u00fckse, bir \u00f6rneklem ortalamas\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n yakla\u015f\u0131k olarak normal oldu\u011funu belirtir. Merkezi limit teoremi ayr\u0131ca \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n a\u015fa\u011f\u0131daki \u00f6zelliklere sahip olaca\u011f\u0131n\u0131 belirtir: 1. \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131 n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131na e\u015fit olacakt\u0131r: x = \u00b5 2. \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131, n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131n\u0131n \u00f6rneklem [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-443","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Merkezi Limit Teoremi Hesaplay\u0131c\u0131 - Statorials<\/title>\n<meta name=\"description\" content=\"Bu hesaplay\u0131c\u0131, belirli bir numunenin numune ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 bulur.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Merkezi Limit Teoremi Hesaplay\u0131c\u0131 - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu hesaplay\u0131c\u0131, belirli bir numunenin numune ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 bulur.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T22:24:07+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/\",\"url\":\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/\",\"name\":\"Merkezi Limit Teoremi Hesaplay\u0131c\u0131 - 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